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Simplifying 7 = 3(x + -1) + -1(2x + 9) Reorder the terms: 7 = 3(-1 + x) + -1(2x + 9) 7 = (-1 * 3 + x * 3) + -1(2x + 9) 7 = (-3 + 3x) + -1(2x + 9) Reorder the terms: 7 = -3 + 3x + -1(9 + 2x) 7 = -3 + 3x + (9 * -1 + 2x * -1) 7 = -3 + 3x + (-9 + -2x) Reorder the terms: 7 = -3 + -9 + 3x + -2x Combine like terms: -3 + -9 = -12 7 = -12 + 3x + -2x Combine like terms: 3x + -2x = 1x 7 = -12 + 1x Solving 7 = -12 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + -1x = -12 + 1x + -1x Combine like terms: 1x + -1x = 0 7 + -1x = -12 + 0 7 + -1x = -12 Add '-7' to each side of the equation. 7 + -7 + -1x = -12 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = -12 + -7 -1x = -12 + -7 Combine like terms: -12 + -7 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19
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